It's been awhile since I last saw a new anime that was really good in compare to the old one's
So here CR family, can you recommend some anime's that are really good with top rankings and mention a brief description on it and its genre.

The main character has an involuntary power that sends him back in time just long enough to fix something that is about to go wrong. For example, jumping back in time a minute to stop someone falling off a ledge. However something more serious than usual happens and his power takes him back to his childhood years. The series then follows his efforts to change the future.

Here are a couple that haven't been named yet that I think are worth mentioning. Note, the spoiler alert is not a spoiler, just the synopsis as posted on MAL.

Blue Spring Ride - highschool romance

Spoiler Alert! Click to show or hide

Futaba Yoshioka used to be an attractive and popular middle-schooler—well liked by the opposite sex, but ostracized by the girls. Nevertheless, she was able to brush all that off, because the only opinion that truly mattered to her was that of Kou Tanaka, a classmate with whom she shared a shelter from rain once, followed by quite a few other precious and significant memories. She even succeeded at making plans to meet with the quiet and innocent boy at the summer festival, but a simple misunderstanding, and Tanaka's subsequent disappearance, left her walking the halls of her school friendless.

Now in high school, Futaba is not your typical adolescent girl. Determined to become a class favorite this time, she avoids all unwanted attention and, instead of acting cute and feminine, only stands out through her tomboyish behavior and disheveled look. But still, her world is soon turned upside down when the only boy she ever liked unexpectedly comes into her life once again—except he goes by the name of Kou Mabuchi now, and it is not his name alone that has gone through a sea change.

Blast of Tempest - fantasy, drama

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One day, a sorceress princess was stuffed into a barrel and banished.
One day, a single girl was suddenly murdered, and the culprit still runs free.
And one day, a battle spanning time and space over magic and revenge began!
Sanity and madness, sense and intelligence, self-confidence and convictions.
The tragic tale of this irrational world starts now.

The Kusaribe family is a family of sorcerers under the protection of the "Tree of Origins". Their princess, Hakaze Kusaribe, was the greatest sorceress of their family. But Samon Kusaribe, a member of their family seeking to resurrect the "Tree of World's End", a tree that opposes the "Tree of Origins" and controls the power of destruction, stuffs her into a barrel, and banishes her to a deserted island. From the deserted island, she sends a message out to sea, which is picked up by Mahiro Fuwa, a young boy who's sworn vengeance upon the criminal who killed his little sister, Aika. Mahiro agrees to help Hakaze under the condition that she find Aika's killer with her magic.

Shin Sekai Yori - drama, supernatural

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Following a sudden outbreak of psychokinesis in 0.1% of the population, a rapid transformation swept the world. The godlike ability to manipulate matter remotely turned many power wielders to violence, inciting a long period of upheaval. Finally, after a chaotic era shaped by the rise and fall of oppressive regimes, the psychic humans were able to achieve a fragile peace by isolating their society, creating a new world bound by complex rules.

In the town of Kamisu 66, 12-year-old Saki Watanabe has just awakened to her powers and is relieved to rejoin her friends—the mischievous Satoru Asahina, the shy Mamoru Itou, the cheerful Maria Akizuki, and Shun Aonuma, a mysterious boy whom Saki admires—at Sage Academy, a special school for psychics. However, unease looms as Saki begins to question the fate of those unable to awaken to their powers, and the children begin to get involved with secretive matters such as the rumored Tainted Cats said to abduct children.

Shinsekai yori tells the unique coming-of-age story of Saki and her friends as they journey to grow into their roles in the supposed utopia. Accepting these roles, however, might not come easy when faced with the dark and shocking truths of society, and the impending havoc born from the new world.

I'll try to give some recommendations that suit what you're looking for, although users like neugenx have already given options that are totally spot on with what you want. I'll repeat some of them because they're good options, but I'll add other titles as well:

Konosuba (fantasy, comedy). The story is about an otaku who died in circumstances that I won't spoil and therefore is sent to a fantasy world to start a new life. This show has incredible comedy from the first minutes and it never falls flat or stops being funny.

Snow White with the Red Hair (fantasy, romance). A girl with the red hair lives in a quiet and peaceful town but for certain reasons needs to leave and stumbles upon a prince of a foreign country with whom she'll begin a beautiful friendship and starts evolving into something more.

Shouwa Genroku Rakugo Shinjuu (drama). A young boy named Yotaro wants to become an apprentice of the art of rakugo after watching a man named Yakumo tell the story of "Shinigami" in a rakugo performance.

Your Lie in April (school, drama, music). This is the story of a boy who is a prodigy at playing the piano, but has lost inspiration and the will to play since his mother's death. His life changes completely when he meets a girl called Kaori.

Yona of the Dawn (fantasy, with some excellent comedy and action). Yona is the princess of a kingdom who is exiled and must fight against the new order imposed by the new king. She travels the world in search of powerful warriors who will help her in her journey.

It's about a boy who's being chased by these supernatural groups because he's been framed for a murder and he has to prove his innocence. There's a lot of good comedy and drama along the way, plus some romance.

It's not on Crunchy, though, it's on Hulu - hulu.com/k The title is literally just one letter.

NANA - Drama, Music, Romance, Comedy 47 Episodes
To be honest, though NANA is among the High Rankings in MAL, and really, a lot of people know about it, the popularity has only been going downhill. It's longer than your typical Shoujo anime, having 47 episodes, and the art style is kind of.. well, the art style isn't clean and crisp like the current anime today. The art style actually strongly resembles the manga. It's a very realistic manga about a naive young adult discovering the wonders of the world. She's dependent and clingy, and really, sometimes you really hate her. She meets a person the same age as her, also named Nana, who's basically- her complete opposite. She's strong-willed, self-dependent, and is in a punk, rock band with dreams to become a vocalist. They met on a train, and ended up sharing a house. The anime really focuses on not only the various relationships both of the Nanas encounter, but it also really focuses on the friendship between the two of them as well. They support each other as each of them go through heartbreaks, and romances. What I love the most about this anime is the realistic elements.

Tari Tari - Comedy, Music, School 13 Episodes
I'll be honest when saying this, Tari Tari isn't really anything special. Really, it's a mediocre anime. If you're looking for something new- this isn't your anime. The animation isn't bad, in fact, I really like the art style, but it's not exactly anything special either. The plot's simple. There is this girl named Konatsu (whom I personally dislike), and she is not allowed to participate in a special choir event because of an incident. This is her last high school year, and because she's a General Education student, will not be doing anything musical for probably- the rest of her life. So that's where she plans on making a new club for herself, called the Choir and Sometimes Badminton Club. Surprise! Making a club isn't so easy. So Konatsu has to find members for her club. What I really love about this anime is more of the character development. Unfortunately, the main character herself doesn't get that much attention when it comes to character development. I'll be honest, I don't think she has any character development. Both the other two main girls backstory is really nice, and emotionally choking. Even the Wakana's whole dead parent is kind of, even, alright. What I really wish this anime would do is focus more of the backstories of maybe some of the minor characters. Heck, I would take an episode all about Konatsu's little brother. Overall, it's a good anime that has a couple of flaws here or there, but not noticeable ones.